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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="boost_random.reference"></a><a class="link" href="reference.html" title="Reference">Reference</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="reference.html#boost_random.reference.concepts">Concepts</a></span></dt>
<dt><span class="section"><a href="reference.html#boost_random.reference.generators">Generators</a></span></dt>
<dt><span class="section"><a href="reference.html#boost_random.reference.distributions">Distributions</a></span></dt>
<dt><span class="section"><a href="reference.html#headers">Headers</a></span></dt>
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<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_random.reference.concepts"></a><a class="link" href="reference.html#boost_random.reference.concepts" title="Concepts">Concepts</a>
</h3></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.introduction">Introduction</a></span></dt>
<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.uniform_random_number_generator">Uniform
        Random Number Generator</a></span></dt>
<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.non_deterministic_uniform_random_number_generator">Non-deterministic
        Uniform Random Number Generator</a></span></dt>
<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator">Pseudo-Random
        Number Generator</a></span></dt>
<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.random_distribution">Random
        Distribution</a></span></dt>
</dl></div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="boost_random.reference.concepts.introduction"></a><a class="link" href="reference.html#boost_random.reference.concepts.introduction" title="Introduction">Introduction</a>
</h4></div></div></div>
<p>
          Random numbers are required in a number of different problem domains, such
          as
        </p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
              numerics (simulation, Monte-Carlo integration)
            </li>
<li class="listitem">
              games (non-deterministic enemy behavior)
            </li>
<li class="listitem">
              security (key generation)
            </li>
<li class="listitem">
              testing (random coverage in white-box tests)
            </li>
</ul></div>
<p>
          The Boost Random Number Generator Library provides a framework for random
          number generators with well-defined properties so that the generators can
          be used in the demanding numerics and security domains. For a general introduction
          to random numbers in numerics, see
        </p>
<div class="blockquote"><blockquote class="blockquote"><p>
            "Numerical Recipes in C: The art of scientific computing",
            William H. Press, Saul A. Teukolsky, William A. Vetterling, Brian P.
            Flannery, 2nd ed., 1992, pp. 274-328
          </p></blockquote></div>
<p>
          Depending on the requirements of the problem domain, different variations
          of random number generators are appropriate:
        </p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
              non-deterministic random number generator
            </li>
<li class="listitem">
              pseudo-random number generator
            </li>
<li class="listitem">
              quasi-random number generator
            </li>
</ul></div>
<p>
          All variations have some properties in common, the concepts (in the STL
          sense) is called <a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">UniformRandomNumberGenerator</a>.
          This concept will be defined in a subsequent section.
        </p>
<p>
          The goals for this library are the following:
        </p>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
              allow easy integration of third-party random-number generators
            </li>
<li class="listitem">
              provide easy-to-use front-end classes which model popular distributions
            </li>
<li class="listitem">
              provide maximum efficiency
            </li>
</ul></div>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="boost_random.reference.concepts.uniform_random_number_generator"></a><a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">Uniform
        Random Number Generator</a>
</h4></div></div></div>
<p>
          A uniform random number generator provides a sequence of random numbers
          uniformly distributed on a given range. The range can be compile-time fixed
          or available (only) after run-time construction of the object.
        </p>
<p>
          The <span class="emphasis"><em>tight lower bound</em></span> of some (finite) set S is the
          (unique) member l in S, so that for all v in S, l &lt;= v holds. Likewise,
          the <span class="emphasis"><em>tight upper bound</em></span> of some (finite) set S is the
          (unique) member u in S, so that for all v in S, v &lt;= u holds.
        </p>
<p>
          In the following table, X denotes a number generator class returning objects
          of type T, and v is a const value of X.
        </p>
<div class="table">
<a name="boost_random.reference.concepts.uniform_random_number_generator.uniformrandomnumbergenerator_requirements"></a><p class="title"><b>Table&#160;23.1.&#160;UniformRandomNumberGenerator requirements</b></p>
<div class="table-contents"><table class="table" summary="UniformRandomNumberGenerator requirements">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                  <p>
                    expression
                  </p>
                </th>
<th>
                  <p>
                    return type
                  </p>
                </th>
<th>
                  <p>
                    pre/post-condition
                  </p>
                </th>
</tr></thead>
<tbody>
<tr>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">X</span><span class="special">::</span><span class="identifier">result_type</span></code>
                  </p>
                </td>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">T</span></code>
                  </p>
                </td>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;::</span><span class="identifier">is_specialized</span></code> is <code class="computeroutput"><span class="keyword">true</span></code>, <code class="computeroutput"><span class="identifier">T</span></code>
                    is <a href="../../../doc/html/LessThanComparable.html" target="_top">LessThanComparable</a>
                  </p>
                </td>
</tr>
<tr>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">u</span><span class="special">.</span><span class="keyword">operator</span><span class="special">()()</span></code>
                  </p>
                </td>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">T</span></code>
                  </p>
                </td>
<td>
                  <p>
                    -
                  </p>
                </td>
</tr>
<tr>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">v</span><span class="special">.</span><span class="identifier">min</span><span class="special">()</span></code>
                  </p>
                </td>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">T</span></code>
                  </p>
                </td>
<td>
                  <p>
                    tight lower bound on the set of all values returned by <code class="computeroutput"><span class="keyword">operator</span><span class="special">()</span></code>.
                    The return value of this function shall not change during the
                    lifetime of the object.
                  </p>
                </td>
</tr>
<tr>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">v</span><span class="special">.</span><span class="identifier">max</span><span class="special">()</span></code>
                  </p>
                </td>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">T</span></code>
                  </p>
                </td>
<td>
                  <p>
                    if <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;::</span><span class="identifier">is_integer</span></code>, tight upper bound
                    on the set of all values returned by <code class="computeroutput"><span class="keyword">operator</span><span class="special">()</span></code>, otherwise, the smallest representable
                    number larger than the tight upper bound on the set of all values
                    returned by <code class="computeroutput"><span class="keyword">operator</span><span class="special">()</span></code>. In any case, the return value
                    of this function shall not change during the lifetime of the
                    object.
                  </p>
                </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><p>
          The member functions <code class="computeroutput"><span class="identifier">min</span></code>,
          <code class="computeroutput"><span class="identifier">max</span></code>, and <code class="computeroutput"><span class="keyword">operator</span><span class="special">()</span></code>
          shall have amortized constant time complexity.
        </p>
<div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../doc/src/images/note.png"></td>
<th align="left">Note</th>
</tr>
<tr><td align="left" valign="top">
<p>
            For integer generators (i.e. integer <code class="computeroutput"><span class="identifier">T</span></code>),
            the generated values <code class="computeroutput"><span class="identifier">x</span></code>
            fulfill <code class="computeroutput"><span class="identifier">min</span><span class="special">()</span>
            <span class="special">&lt;=</span> <span class="identifier">x</span>
            <span class="special">&lt;=</span> <span class="identifier">max</span><span class="special">()</span></code>, for non-integer generators (i.e. non-integer
            <code class="computeroutput"><span class="identifier">T</span></code>), the generated values
            <code class="computeroutput"><span class="identifier">x</span></code> fulfill <code class="computeroutput"><span class="identifier">min</span><span class="special">()</span> <span class="special">&lt;=</span> <span class="identifier">x</span> <span class="special">&lt;</span> <span class="identifier">max</span><span class="special">()</span></code>.
          </p>
<p>
            Rationale: The range description with min and max serves two purposes.
            First, it allows scaling of the values to some canonical range, such
            as [0..1). Second, it describes the significant bits of the values, which
            may be relevant for further processing.
          </p>
<p>
            The range is a closed interval [min,max] for integers, because the underlying
            type may not be able to represent the half-open interval [min,max+1).
            It is a half-open interval [min, max) for non-integers, because this
            is much more practical for borderline cases of continuous distributions.
          </p>
</td></tr>
</table></div>
<div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../doc/src/images/note.png"></td>
<th align="left">Note</th>
</tr>
<tr><td align="left" valign="top">
<p>
            The <a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">UniformRandomNumberGenerator</a>
            concept does not require <code class="computeroutput"><span class="keyword">operator</span><span class="special">()(</span><span class="keyword">long</span><span class="special">)</span></code> and thus it does not fulfill the <code class="computeroutput"><span class="identifier">RandomNumberGenerator</span></code> (std:25.2.11
            [lib.alg.random.shuffle]) requirements. Use the <code class="computeroutput"><a class="link" href="../boost/random/random_number_generator.html" title="Class template random_number_generator">random_number_generator</a></code>
            adapter for that.
          </p>
<p>
            Rationale: <code class="computeroutput"><span class="keyword">operator</span><span class="special">()(</span><span class="keyword">long</span><span class="special">)</span></code>
            is not provided, because mapping the output of some generator with integer
            range to a different integer range is not trivial.
          </p>
</td></tr>
</table></div>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="boost_random.reference.concepts.non_deterministic_uniform_random_number_generator"></a><a class="link" href="reference.html#boost_random.reference.concepts.non_deterministic_uniform_random_number_generator" title="Non-deterministic Uniform Random Number Generator">Non-deterministic
        Uniform Random Number Generator</a>
</h4></div></div></div>
<p>
          A non-deterministic uniform random number generator is a <a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">UniformRandomNumberGenerator</a>
          that is based on some stochastic process. Thus, it provides a sequence
          of truly-random numbers. Examples for such processes are nuclear decay,
          noise of a Zehner diode, tunneling of quantum particles, rolling a die,
          drawing from an urn, and tossing a coin. Depending on the environment,
          inter-arrival times of network packets or keyboard events may be close
          approximations of stochastic processes.
        </p>
<p>
          The class <code class="computeroutput"><a class="link" href="../boost/random/random_device.html" title="Class random_device">random_device</a></code>
          is a model for a non-deterministic random number generator.
        </p>
<div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../doc/src/images/note.png"></td>
<th align="left">Note</th>
</tr>
<tr><td align="left" valign="top"><p>
            This type of random-number generator is useful for security applications,
            where it is important to prevent an outside attacker from guessing the
            numbers and thus obtaining your encryption or authentication key. Thus,
            models of this concept should be cautious not to leak any information,
            to the extent possible by the environment. For example, it might be advisable
            to explicitly clear any temporary storage as soon as it is no longer
            needed.
          </p></td></tr>
</table></div>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="boost_random.reference.concepts.pseudo_random_number_generator"></a><a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">Pseudo-Random
        Number Generator</a>
</h4></div></div></div>
<p>
          A pseudo-random number generator is a <a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">UniformRandomNumberGenerator</a>
          which provides a deterministic sequence of pseudo-random numbers, based
          on some algorithm and internal state. <code class="computeroutput"><a class="link" href="../boost/random/linear_congruential_engine.html" title="Class template linear_congruential_engine">Linear
          congruential</a></code> and <code class="computeroutput"><a class="link" href="../boost/random/inversive_cong_idp82309568.html" title="Class template inversive_congruential_engine">inversive
          congruential</a></code> generators are examples of such <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">pseudo-random
          number generators</a>. Often, these generators are very sensitive to
          their parameters. In order to prevent wrong implementations from being
          used, an external testsuite should check that the generated sequence and
          the validation value provided do indeed match.
        </p>
<p>
          Donald E. Knuth gives an extensive overview on pseudo-random number generation
          in his book "The Art of Computer Programming, Vol. 2, 3rd edition,
          Addison-Wesley, 1997". The descriptions for the specific generators
          contain additional references.
        </p>
<div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../doc/src/images/note.png"></td>
<th align="left">Note</th>
</tr>
<tr><td align="left" valign="top"><p>
            Because the state of a pseudo-random number generator is necessarily
            finite, the sequence of numbers returned by the generator will loop eventually.
          </p></td></tr>
</table></div>
<p>
          In addition to the <a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">UniformRandomNumberGenerator</a>
          requirements, a pseudo-random number generator has some additional requirements.
          In the following table, <code class="computeroutput"><span class="identifier">X</span></code>
          denotes a pseudo-random number generator class returning objects of type
          <code class="computeroutput"><span class="identifier">T</span></code>, <code class="computeroutput"><span class="identifier">x</span></code>
          is a value of <code class="computeroutput"><span class="identifier">T</span></code>, <code class="computeroutput"><span class="identifier">u</span></code> is a value of <code class="computeroutput"><span class="identifier">X</span></code>,
          and <code class="computeroutput"><span class="identifier">v</span></code> is a const value
          of <code class="computeroutput"><span class="identifier">X</span></code>.
        </p>
<div class="table">
<a name="boost_random.reference.concepts.pseudo_random_number_generator.pseudorandomnumbergenerator_requirements"></a><p class="title"><b>Table&#160;23.2.&#160;PseudoRandomNumberGenerator requirements</b></p>
<div class="table-contents"><table class="table" summary="PseudoRandomNumberGenerator requirements">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                  <p>
                    expression
                  </p>
                </th>
<th>
                  <p>
                    return type
                  </p>
                </th>
<th>
                  <p>
                    pre/post-condition
                  </p>
                </th>
</tr></thead>
<tbody>
<tr>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">X</span><span class="special">()</span></code>
                  </p>
                </td>
<td>
                  <p>
                    -
                  </p>
                </td>
<td>
                  <p>
                    creates a generator in some implementation-defined state. Note:
                    Several generators thusly created may possibly produce dependent
                    or identical sequences of random numbers.
                  </p>
                </td>
</tr>
<tr>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">X</span><span class="special">(...)</span></code>
                  </p>
                </td>
<td>
                  <p>
                    -
                  </p>
                </td>
<td>
                  <p>
                    creates a generator with user-provided state; the implementation
                    shall specify the constructor argument(s)
                  </p>
                </td>
</tr>
<tr>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">u</span><span class="special">.</span><span class="identifier">seed</span><span class="special">(...)</span></code>
                  </p>
                </td>
<td>
                  <p>
                    <code class="computeroutput"><span class="keyword">void</span></code>
                  </p>
                </td>
<td>
                  <p>
                    sets the current state according to the argument(s); at least
                    functions with the same signature as the non-default constructor(s)
                    shall be provided.
                  </p>
                </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../doc/src/images/note.png"></td>
<th align="left">Note</th>
</tr>
<tr><td align="left" valign="top"><p>
            The seed member function is similar to the assign member function in
            STL containers. However, the naming did not seem appropriate.
          </p></td></tr>
</table></div>
<p>
          Classes which model a pseudo-random number generator shall also model
          <a href="../../../doc/html/EqualityComparable.html" target="_top">EqualityComparable</a>,
          i.e. implement <code class="computeroutput"><span class="keyword">operator</span><span class="special">==</span></code>.
          Two pseudo-random number generators are defined to be <span class="emphasis"><em>equivalent</em></span>
          if they both return an identical sequence of numbers starting from a given
          state.
        </p>
<p>
          Classes which model a pseudo-random number generator should also model
          the Streamable concept, i.e. implement <code class="computeroutput"><span class="keyword">operator</span><span class="special">&lt;&lt;</span></code> and <code class="computeroutput"><span class="keyword">operator</span><span class="special">&gt;&gt;</span></code>. If so, <code class="computeroutput"><span class="keyword">operator</span><span class="special">&lt;&lt;</span></code> writes all current state of the
          pseudo-random number generator to the given <code class="computeroutput"><span class="identifier">ostream</span></code>
          so that <code class="computeroutput"><span class="keyword">operator</span><span class="special">&gt;&gt;</span></code>
          can restore the state at a later time. The state shall be written in a
          platform-independent manner, but it is assumed that the <code class="computeroutput"><span class="identifier">locales</span></code>
          used for writing and reading be the same. The pseudo-random number generator
          with the restored state and the original at the just-written state shall
          be equivalent.
        </p>
<p>
          Classes which model a pseudo-random number generator should also model
          the <a href="../../../doc/html/CopyConstructible.html" target="_top">CopyConstructible</a>
          and <a href="../../../doc/html/Assignable.html" target="_top">Assignable</a> concepts.
          However, note that the sequences of the original and the copy are strongly
          correlated (in fact, they are identical), which may make them unsuitable
          for some problem domains. Thus, copying pseudo-random number generators
          is discouraged; they should always be passed by (non-const) reference.
        </p>
<p>
          The classes <code class="computeroutput"><a class="link" href="../boost/random/rand48.html" title="Class rand48">rand48</a></code>,
          <code class="computeroutput"><a class="link" href="../boost/random/minstd_rand.html" title="Type definition minstd_rand">minstd_rand</a></code>, and
          <code class="computeroutput"><a class="link" href="../boost/random/mt19937.html" title="Type definition mt19937">mt19937</a></code> are models
          for a pseudo-random number generator.
        </p>
<div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../doc/src/images/note.png"></td>
<th align="left">Note</th>
</tr>
<tr><td align="left" valign="top"><p>
            This type of random-number generator is useful for numerics, games and
            testing. The non-zero arguments constructor(s) and the <code class="computeroutput"><span class="identifier">seed</span><span class="special">()</span></code>
            member function(s) allow for a user-provided state to be installed in
            the generator. This is useful for debugging Monte-Carlo algorithms and
            analyzing particular test scenarios. The Streamable concept allows to
            save/restore the state of the generator, for example to re-run a test
            suite at a later time.
          </p></td></tr>
</table></div>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="boost_random.reference.concepts.random_distribution"></a><a class="link" href="reference.html#boost_random.reference.concepts.random_distribution" title="Random Distribution">Random
        Distribution</a>
</h4></div></div></div>
<p>
          A random distribution produces random numbers distributed according to
          some distribution, given uniformly distributed random values as input.
          In the following table, <code class="computeroutput"><span class="identifier">X</span></code>
          denotes a random distribution class returning objects of type <code class="computeroutput"><span class="identifier">T</span></code>, <code class="computeroutput"><span class="identifier">u</span></code>
          is a value of <code class="computeroutput"><span class="identifier">X</span></code>, <code class="computeroutput"><span class="identifier">x</span></code> is a (possibly const) value of <code class="computeroutput"><span class="identifier">X</span></code>, and <code class="computeroutput"><span class="identifier">e</span></code>
          is an lvalue of an arbitrary type that meets the requirements of a <a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">UniformRandomNumberGenerator</a>,
          returning values of type <code class="computeroutput"><span class="identifier">U</span></code>.
        </p>
<div class="table">
<a name="boost_random.reference.concepts.random_distribution.random_distribution_requirements__in_addition_to_copyconstructible__and_assignable_"></a><p class="title"><b>Table&#160;23.3.&#160;Random distribution requirements (in addition to CopyConstructible,
          and Assignable)</b></p>
<div class="table-contents"><table class="table" summary="Random distribution requirements (in addition to CopyConstructible,
          and Assignable)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                  <p>
                    expression
                  </p>
                </th>
<th>
                  <p>
                    return type
                  </p>
                </th>
<th>
                  <p>
                    pre/post-condition
                  </p>
                </th>
<th>
                  <p>
                    complexity
                  </p>
                </th>
</tr></thead>
<tbody>
<tr>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">X</span><span class="special">::</span><span class="identifier">result_type</span></code>
                  </p>
                </td>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">T</span></code>
                  </p>
                </td>
<td>
                  <p>
                    -
                  </p>
                </td>
<td>
                  <p>
                    compile-time
                  </p>
                </td>
</tr>
<tr>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">u</span><span class="special">.</span><span class="identifier">reset</span><span class="special">()</span></code>
                  </p>
                </td>
<td>
                  <p>
                    <code class="computeroutput"><span class="keyword">void</span></code>
                  </p>
                </td>
<td>
                  <p>
                    subsequent uses of <code class="computeroutput"><span class="identifier">u</span></code>
                    do not depend on values produced by any engine prior to invoking
                    <code class="computeroutput"><span class="identifier">reset</span></code>.
                  </p>
                </td>
<td>
                  <p>
                    constant
                  </p>
                </td>
</tr>
<tr>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">u</span><span class="special">(</span><span class="identifier">e</span><span class="special">)</span></code>
                  </p>
                </td>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">T</span></code>
                  </p>
                </td>
<td>
                  <p>
                    the sequence of numbers returned by successive invocations with
                    the same object <code class="computeroutput"><span class="identifier">e</span></code>
                    is randomly distributed with some probability density function
                    <code class="computeroutput"><span class="identifier">p</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span></code>
                  </p>
                </td>
<td>
                  <p>
                    amortized constant number of invocations of <code class="computeroutput"><span class="identifier">e</span></code>
                  </p>
                </td>
</tr>
<tr>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">os</span> <span class="special">&lt;&lt;</span>
                    <span class="identifier">x</span></code>
                  </p>
                </td>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">ostream</span><span class="special">&amp;</span></code>
                  </p>
                </td>
<td>
                  <p>
                    writes a textual representation for the parameters and additional
                    internal data of the distribution <code class="computeroutput"><span class="identifier">x</span></code>
                    to <code class="computeroutput"><span class="identifier">os</span></code>. post:
                    The <code class="computeroutput"><span class="identifier">os</span><span class="special">.</span><span class="identifier">fmtflags</span></code> and fill character
                    are unchanged.
                  </p>
                </td>
<td>
                  <p>
                    O(size of state)
                  </p>
                </td>
</tr>
<tr>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">is</span> <span class="special">&gt;&gt;</span>
                    <span class="identifier">u</span></code>
                  </p>
                </td>
<td>
                  <p>
                    <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">istream</span><span class="special">&amp;</span></code>
                  </p>
                </td>
<td>
                  <p>
                    restores the parameters and additional internal data of the distribution
                    <code class="computeroutput"><span class="identifier">u</span></code>. pre: <code class="computeroutput"><span class="identifier">is</span></code> provides a textual representation
                    that was previously written by <code class="computeroutput"><span class="keyword">operator</span><span class="special">&lt;&lt;</span></code> post: The <code class="computeroutput"><span class="identifier">is</span><span class="special">.</span><span class="identifier">fmtflags</span></code> are unchanged.
                  </p>
                </td>
<td>
                  <p>
                    O(size of state)
                  </p>
                </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><p>
          Additional requirements: The sequence of numbers produced by repeated invocations
          of <code class="computeroutput"><span class="identifier">x</span><span class="special">(</span><span class="identifier">e</span><span class="special">)</span></code> does
          not change whether or not <code class="computeroutput"><span class="identifier">os</span>
          <span class="special">&lt;&lt;</span> <span class="identifier">x</span></code>
          is invoked between any of the invocations <code class="computeroutput"><span class="identifier">x</span><span class="special">(</span><span class="identifier">e</span><span class="special">)</span></code>.
          If a textual representation is written using <code class="computeroutput"><span class="identifier">os</span>
          <span class="special">&lt;&lt;</span> <span class="identifier">x</span></code>
          and that representation is restored into the same or a different object
          <code class="computeroutput"><span class="identifier">y</span></code> of the same type using
          <code class="computeroutput"><span class="identifier">is</span> <span class="special">&gt;&gt;</span>
          <span class="identifier">y</span></code>, repeated invocations of <code class="computeroutput"><span class="identifier">y</span><span class="special">(</span><span class="identifier">e</span><span class="special">)</span></code> produce the same sequence of random numbers
          as would repeated invocations of <code class="computeroutput"><span class="identifier">x</span><span class="special">(</span><span class="identifier">e</span><span class="special">)</span></code>.
        </p>
</div>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_random.reference.generators"></a><a class="link" href="reference.html#boost_random.reference.generators" title="Generators">Generators</a>
</h3></div></div></div>
<p>
        This library provides several <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">pseudo-random
        number generators</a>. The quality of a <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">pseudo
        random number generator</a> crucially depends on both the algorithm and
        its parameters. This library implements the algorithms as class templates
        with template value parameters, hidden in <code class="computeroutput"><span class="keyword">namespace</span>
        <span class="identifier">boost</span><span class="special">::</span><span class="identifier">random</span></code>. Any particular choice of parameters
        is represented as the appropriately specializing <code class="computeroutput"><span class="keyword">typedef</span></code>
        in <code class="computeroutput"><span class="keyword">namespace</span> <span class="identifier">boost</span></code>.
      </p>
<p>
        <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">Pseudo-random
        number generators</a> should not be constructed (initialized) frequently
        during program execution, for two reasons. First, initialization requires
        full initialization of the internal state of the generator. Thus, generators
        with a lot of internal state (see below) are costly to initialize. Second,
        initialization always requires some value used as a "seed" for
        the generated sequence. It is usually difficult to obtain several good seed
        values. For example, one method to obtain a seed is to determine the current
        time at the highest resolution available, e.g. microseconds or nanoseconds.
        When the <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">pseudo-random
        number generator</a> is initialized again with the then-current time as
        the seed, it is likely that this is at a near-constant (non-random) distance
        from the time given as the seed for first initialization. The distance could
        even be zero if the resolution of the clock is low, thus the generator re-iterates
        the same sequence of random numbers. For some applications, this is inappropriate.
      </p>
<p>
        Note that all <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">pseudo-random
        number generators</a> described below are <a href="../../../doc/html/CopyConstructible.html" target="_top">CopyConstructible</a>
        and <a href="../../../doc/html/Assignable.html" target="_top">Assignable</a>. Copying
        or assigning a generator will copy all its internal state, so the original
        and the copy will generate the identical sequence of random numbers. Often,
        such behavior is not wanted. In particular, beware of the algorithms from
        the standard library such as <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">generate</span></code>.
        They take a functor argument by value, thereby invoking the copy constructor
        when called.
      </p>
<p>
        The following table gives an overview of some characteristics of the generators.
        The cycle length is a rough estimate of the quality of the generator; the
        approximate relative speed is a performance measure, higher numbers mean
        faster random number generation.
      </p>
<div class="table">
<a name="boost_random.reference.generators.generators"></a><p class="title"><b>Table&#160;23.4.&#160;generators</b></p>
<div class="table-contents"><table class="table" summary="generators">
<colgroup>
<col>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  generator
                </p>
              </th>
<th>
                <p>
                  length of cycle
                </p>
              </th>
<th>
                <p>
                  approx. memory requirements
                </p>
              </th>
<th>
                <p>
                  approx. speed compared to fastest
                </p>
              </th>
<th>
                <p>
                  comment
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/minstd_rand0.html" title="Type definition minstd_rand0">minstd_rand0</a></code>
                </p>
              </td>
<td>
                <p>
                  2<sup>31</sup>-2
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">int32_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  16%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/minstd_rand.html" title="Type definition minstd_rand">minstd_rand</a></code>
                </p>
              </td>
<td>
                <p>
                  2<sup>31</sup>-2
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">int32_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  16%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/rand48.html" title="Class rand48">rand48</a></code>
                </p>
              </td>
<td>
                <p>
                  2<sup>48</sup>-1
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint64_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  64%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/ecuyer1988.html" title="Type definition ecuyer1988">ecuyer1988</a></code>
                </p>
              </td>
<td>
                <p>
                  approx. 2<sup>61</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">2</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">int32_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  7%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/knuth_b.html" title="Type definition knuth_b">knuth_b</a></code>
                </p>
              </td>
<td>
                <p>
                  ?
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">257</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint32_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  12%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/kreutzer1986.html" title="Type definition kreutzer1986">kreutzer1986</a></code>
                </p>
              </td>
<td>
                <p>
                  ?
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">1368</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint32_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  37%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/taus88.html" title="Type definition taus88">taus88</a></code>
                </p>
              </td>
<td>
                <p>
                  ~2<sup>88</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">3</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint32_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  100%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/hellekalek1995.html" title="Type definition hellekalek1995">hellekalek1995</a></code>
                </p>
              </td>
<td>
                <p>
                  2<sup>31</sup>-1
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">int32_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  2%
                </p>
              </td>
<td>
                <p>
                  good uniform distribution in several dimensions
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/mt11213b.html" title="Type definition mt11213b">mt11213b</a></code>
                </p>
              </td>
<td>
                <p>
                  2<sup>11213</sup>-1
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">352</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint32_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  100%
                </p>
              </td>
<td>
                <p>
                  good uniform distribution in up to 350 dimensions
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/mt19937.html" title="Type definition mt19937">mt19937</a></code>
                </p>
              </td>
<td>
                <p>
                  2<sup>19937</sup>-1
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">625</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint32_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  93%
                </p>
              </td>
<td>
                <p>
                  good uniform distribution in up to 623 dimensions
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="reference.html#boost.random.mt19937_64">mt19937_64</a></code>
                </p>
              </td>
<td>
                <p>
                  2<sup>19937</sup>-1
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">312</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint64_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  38%
                </p>
              </td>
<td>
                <p>
                  good uniform distribution in up to 311 dimensions
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci607.html" title="Type definition lagged_fibonacci607">lagged_fibonacci607</a></code>
                </p>
              </td>
<td>
                <p>
                  ~2<sup>32000</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">607</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  59%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci1279.html" title="Type definition lagged_fibonacci1279">lagged_fibonacci1279</a></code>
                </p>
              </td>
<td>
                <p>
                  ~2<sup>67000</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">1279</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  59%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci2281.html" title="Type definition lagged_fibonacci2281">lagged_fibonacci2281</a></code>
                </p>
              </td>
<td>
                <p>
                  ~2<sup>120000</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">2281</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  61%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci3217.html" title="Type definition lagged_fibonacci3217">lagged_fibonacci3217</a></code>
                </p>
              </td>
<td>
                <p>
                  ~2<sup>170000</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">3217</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  62%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci4423.html" title="Type definition lagged_fibonacci4423">lagged_fibonacci4423</a></code>
                </p>
              </td>
<td>
                <p>
                  ~2<sup>230000</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">4423</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  59%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci9689.html" title="Type definition lagged_fibonacci9689">lagged_fibonacci9689</a></code>
                </p>
              </td>
<td>
                <p>
                  ~2<sup>510000</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">9689</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  61%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci19937.html" title="Type definition lagged_fibonacci19937">lagged_fibonacci19937</a></code>
                </p>
              </td>
<td>
                <p>
                  ~2<sup>1050000</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">19937</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  59%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci23209.html" title="Type definition lagged_fibonacci23209">lagged_fibonacci23209</a></code>
                </p>
              </td>
<td>
                <p>
                  ~2<sup>1200000</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">23209</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  61%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci44497.html" title="Type definition lagged_fibonacci44497">lagged_fibonacci44497</a></code>
                </p>
              </td>
<td>
                <p>
                  ~2<sup>2300000</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">44497</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  59%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/ranlux3.html" title="Type definition ranlux3">ranlux3</a></code>
                </p>
              </td>
<td>
                <p>
                  ~10<sup>171</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">int</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  5%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/ranlux4.html" title="Type definition ranlux4">ranlux4</a></code>
                </p>
              </td>
<td>
                <p>
                  ~10<sup>171</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">int</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  3%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/ranlux64_3.html" title="Type definition ranlux64_3">ranlux64_3</a></code>
                </p>
              </td>
<td>
                <p>
                  ~10<sup>171</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">int64_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  5%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/ranlux64_4.html" title="Type definition ranlux64_4">ranlux64_4</a></code>
                </p>
              </td>
<td>
                <p>
                  ~10<sup>171</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">int64_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  3%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/ranlux3_01.html" title="Type definition ranlux3_01">ranlux3_01</a></code>
                </p>
              </td>
<td>
                <p>
                  ~10<sup>171</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">float</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  5%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/ranlux4_01.html" title="Type definition ranlux4_01">ranlux4_01</a></code>
                </p>
              </td>
<td>
                <p>
                  ~10<sup>171</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">float</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  3%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/ranlux64_3_01.html" title="Type definition ranlux64_3_01">ranlux64_3_01</a></code>
                </p>
              </td>
<td>
                <p>
                  ~10<sup>171</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  5%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/ranlux64_4_01.html" title="Type definition ranlux64_4_01">ranlux64_4_01</a></code>
                </p>
              </td>
<td>
                <p>
                  ~10<sup>171</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  3%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="reference.html#boost.random.ranlux24">ranlux24</a></code>
                </p>
              </td>
<td>
                <p>
                  ~10<sup>171</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint32_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  5%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="reference.html#boost.random.ranlux48">ranlux48</a></code>
                </p>
              </td>
<td>
                <p>
                  ~10<sup>171</sup>
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="number">12</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint64_t</span><span class="special">)</span></code>
                </p>
              </td>
<td>
                <p>
                  3%
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><p>
        As observable from the table, there is generally a quality/performance/memory
        trade-off to be decided upon when choosing a random-number generator. The
        multitude of generators provided in this library allows the application programmer
        to optimize the trade-off with regard to his application domain. Additionally,
        employing several fundamentally different random number generators for a
        given application of Monte Carlo simulation will improve the confidence in
        the results.
      </p>
<p>
        If the names of the generators don't ring any bell and you have no idea which
        generator to use, it is reasonable to employ <code class="computeroutput"><a class="link" href="../boost/random/mt19937.html" title="Type definition mt19937">mt19937</a></code>
        for a start: It is fast and has acceptable quality.
      </p>
<div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../doc/src/images/note.png"></td>
<th align="left">Note</th>
</tr>
<tr><td align="left" valign="top"><p>
          These random number generators are not intended for use in applications
          where non-deterministic random numbers are required. See <code class="computeroutput"><a class="link" href="../boost/random/random_device.html" title="Class random_device">random_device</a></code>
          for a choice of (hopefully) non-deterministic random number generators.
        </p></td></tr>
</table></div>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_random.reference.distributions"></a><a class="link" href="reference.html#boost_random.reference.distributions" title="Distributions">Distributions</a>
</h3></div></div></div>
<p>
        In addition to the <a class="link" href="reference.html#boost_random.reference.generators" title="Generators">random
        number generators</a>, this library provides distribution functions which
        map one distribution (often a uniform distribution provided by some generator)
        to another.
      </p>
<p>
        Usually, there are several possible implementations of any given mapping.
        Often, there is a choice between using more space, more invocations of the
        underlying source of random numbers, or more time-consuming arithmetic such
        as trigonometric functions. This interface description does not mandate any
        specific implementation. However, implementations which cannot reach certain
        values of the specified distribution or otherwise do not converge statistically
        to it are not acceptable.
      </p>
<div class="table">
<a name="boost_random.reference.distributions.uniform_distributions"></a><p class="title"><b>Table&#160;23.5.&#160;Uniform Distributions</b></p>
<div class="table-contents"><table class="table" summary="Uniform Distributions">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  distribution
                </p>
              </th>
<th>
                <p>
                  explanation
                </p>
              </th>
<th>
                <p>
                  example
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/uniform_smallint.html" title="Class template uniform_smallint">uniform_smallint</a></code>
                </p>
              </td>
<td>
                <p>
                  discrete uniform distribution on a small set of integers (much
                  smaller than the range of the underlying generator)
                </p>
              </td>
<td>
                <p>
                  drawing from an urn
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/uniform_int_distribution.html" title="Class template uniform_int_distribution">uniform_int_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  discrete uniform distribution on a set of integers; the underlying
                  generator may be called several times to gather enough randomness
                  for the output
                </p>
              </td>
<td>
                <p>
                  drawing from an urn
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/uniform_01.html" title="Class template uniform_01">uniform_01</a></code>
                </p>
              </td>
<td>
                <p>
                  continuous uniform distribution on the range [0,1); important basis
                  for other distributions
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/uniform_real_distribution.html" title="Class template uniform_real_distribution">uniform_real_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  continuous uniform distribution on some range [min, max) of real
                  numbers
                </p>
              </td>
<td>
                <p>
                  for the range [0, 2pi): randomly dropping a stick and measuring
                  its angle in radians (assuming the angle is uniformly distributed)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_random.reference.distributions.bernoulli_distributions"></a><p class="title"><b>Table&#160;23.6.&#160;Bernoulli Distributions</b></p>
<div class="table-contents"><table class="table" summary="Bernoulli Distributions">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  distribution
                </p>
              </th>
<th>
                <p>
                  explanation
                </p>
              </th>
<th>
                <p>
                  example
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/bernoulli_distribution.html" title="Class template bernoulli_distribution">bernoulli_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  Bernoulli experiment: discrete boolean valued distribution with
                  configurable probability
                </p>
              </td>
<td>
                <p>
                  tossing a coin (p=0.5)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  counts outcomes of repeated Bernoulli experiments
                </p>
              </td>
<td>
                <p>
                  tossing a coin 20 times and counting how many front sides are shown
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/geometric_distribution.html" title="Class template geometric_distribution">geometric_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  measures distance between outcomes of repeated Bernoulli experiments
                </p>
              </td>
<td>
                <p>
                  throwing a die several times and counting the number of tries until
                  a "6" appears for the first time
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/negative_binom_idp82638048.html" title="Class template negative_binomial_distribution">negative_binomial_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  Counts the number of failures of repeated Bernoulli experiments
                  required to get some constant number of successes.
                </p>
              </td>
<td>
                <p>
                  flipping a coin and counting the number of heads that show up before
                  we get 3 tails
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_random.reference.distributions.poisson_distributions"></a><p class="title"><b>Table&#160;23.7.&#160;Poisson Distributions</b></p>
<div class="table-contents"><table class="table" summary="Poisson Distributions">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  distribution
                </p>
              </th>
<th>
                <p>
                  explanation
                </p>
              </th>
<th>
                <p>
                  example
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  poisson distribution
                </p>
              </td>
<td>
                <p>
                  counting the number of alpha particles emitted by radioactive matter
                  in a fixed period of time
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/exponential_distribution.html" title="Class template exponential_distribution">exponential_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  exponential distribution
                </p>
              </td>
<td>
                <p>
                  measuring the inter-arrival time of alpha particles emitted by
                  radioactive matter
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/gamma_distribution.html" title="Class template gamma_distribution">gamma_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  gamma distribution
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/weibull_distribution.html" title="Class template weibull_distribution">weibull_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  weibull distribution
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/extreme_value_distribution.html" title="Class template extreme_value_distribution">extreme_value_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  extreme value distribution
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_random.reference.distributions.normal_distributions"></a><p class="title"><b>Table&#160;23.8.&#160;Normal Distributions</b></p>
<div class="table-contents"><table class="table" summary="Normal Distributions">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  distribution
                </p>
              </th>
<th>
                <p>
                  explanation
                </p>
              </th>
<th>
                <p>
                  example
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/normal_distribution.html" title="Class template normal_distribution">normal_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  counts outcomes of (infinitely) repeated Bernoulli experiments
                </p>
              </td>
<td>
                <p>
                  tossing a coin 10000 times and counting how many front sides are
                  shown
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/lognormal_distribution.html" title="Class template lognormal_distribution">lognormal_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  lognormal distribution (sometimes used in simulations)
                </p>
              </td>
<td>
                <p>
                  measuring the job completion time of an assembly line worker
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  chi-squared distribution
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/cauchy_distribution.html" title="Class template cauchy_distribution">cauchy_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  Cauchy distribution
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/fisher_f_distribution.html" title="Class template fisher_f_distribution">fisher_f_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  Fisher F distribution
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  Student t distribution
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_random.reference.distributions.sampling_distributions"></a><p class="title"><b>Table&#160;23.9.&#160;Sampling Distributions</b></p>
<div class="table-contents"><table class="table" summary="Sampling Distributions">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  distribution
                </p>
              </th>
<th>
                <p>
                  explanation
                </p>
              </th>
<th>
                <p>
                  example
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/discrete_distribution.html" title="Class template discrete_distribution">discrete_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  discrete distribution with specific probabilities
                </p>
              </td>
<td>
                <p>
                  rolling an unfair die
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/piecewise_cons_idp82723744.html" title="Class template piecewise_constant_distribution">piecewise_constant_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/piecewise_line_idp82782016.html" title="Class template piecewise_linear_distribution">piecewise_linear_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_random.reference.distributions.miscellaneous_distributions"></a><p class="title"><b>Table&#160;23.10.&#160;Miscellaneous Distributions</b></p>
<div class="table-contents"><table class="table" summary="Miscellaneous Distributions">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  distribution
                </p>
              </th>
<th>
                <p>
                  explanation
                </p>
              </th>
<th>
                <p>
                  example
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/triangle_distribution.html" title="Class template triangle_distribution">triangle_distribution</a></code>
                </p>
              </td>
<td>
                <p>
                  triangle distribution
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><a class="link" href="../boost/random/uniform_on_sphere.html" title="Class template uniform_on_sphere">uniform_on_sphere</a></code>
                </p>
              </td>
<td>
                <p>
                  uniform distribution on a unit sphere of arbitrary dimension
                </p>
              </td>
<td>
                <p>
                  choosing a random point on Earth (assumed to be a sphere) where
                  to spend the next vacations
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break">
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<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.additive_combine_hpp"></a>Header &lt;<a href="../../../boost/random/additive_combine.hpp" target="_top">boost/random/additive_combine.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> MLCG1<span class="special">,</span> <span class="keyword">typename</span> MLCG2<span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/additive_combine_engine.html" title="Class template additive_combine_engine">additive_combine_engine</a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/additive_combine_engine.html" title="Class template additive_combine_engine">additive_combine_engine</a><span class="special">&lt;</span> <a class="link" href="../boost/random/linear_congruential_engine.html" title="Class template linear_congruential_engine">linear_congruential_engine</a><span class="special">&lt;</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">40014</span><span class="special">,</span> <span class="number">0</span><span class="special">,</span> <span class="number">2147483563</span> <span class="special">&gt;</span><span class="special">,</span> <a class="link" href="../boost/random/linear_congruential_engine.html" title="Class template linear_congruential_engine">linear_congruential_engine</a><span class="special">&lt;</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">40692</span><span class="special">,</span> <span class="number">0</span><span class="special">,</span> <span class="number">2147483399</span> <span class="special">&gt;&gt;</span> <a class="link" href="../boost/random/ecuyer1988.html" title="Type definition ecuyer1988"><span class="identifier">ecuyer1988</span></a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
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<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.bernoulli_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/bernoulli_distribution.hpp" target="_top">boost/random/bernoulli_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/bernoulli_distribution.html" title="Class template bernoulli_distribution">bernoulli_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.binomial_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/binomial_distribution.hpp" target="_top">boost/random/binomial_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.cauchy_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/cauchy_distribution.hpp" target="_top">boost/random/cauchy_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/cauchy_distribution.html" title="Class template cauchy_distribution">cauchy_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.chi_squared_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/chi_squared_distribution.hpp" target="_top">boost/random/chi_squared_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.discard_block_hpp"></a>Header &lt;<a href="../../../boost/random/discard_block.hpp" target="_top">boost/random/discard_block.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> UniformRandomNumberGenerator<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> p<span class="special">,</span> 
             <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> r<span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.discrete_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/discrete_distribution.hpp" target="_top">boost/random/discrete_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">typename</span> WeightType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/discrete_distribution.html" title="Class template discrete_distribution">discrete_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.exponential_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/exponential_distribution.hpp" target="_top">boost/random/exponential_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/exponential_distribution.html" title="Class template exponential_distribution">exponential_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.extreme_value_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/extreme_value_distribution.hpp" target="_top">boost/random/extreme_value_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/extreme_value_distribution.html" title="Class template extreme_value_distribution">extreme_value_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.fisher_f_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/fisher_f_distribution.hpp" target="_top">boost/random/fisher_f_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/fisher_f_distribution.html" title="Class template fisher_f_distribution">fisher_f_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.gamma_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/gamma_distribution.hpp" target="_top">boost/random/gamma_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/gamma_distribution.html" title="Class template gamma_distribution">gamma_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.geometric_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/geometric_distribution.hpp" target="_top">boost/random/geometric_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/geometric_distribution.html" title="Class template geometric_distribution">geometric_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.independent_bits_hpp"></a>Header &lt;<a href="../../../boost/random/independent_bits.hpp" target="_top">boost/random/independent_bits.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> Engine<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> w<span class="special">,</span> <span class="keyword">typename</span> UIntType<span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/independent_bits_engine.html" title="Class template independent_bits_engine">independent_bits_engine</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.inversive_congruential_hpp"></a>Header &lt;<a href="../../../boost/random/inversive_congruential.hpp" target="_top">boost/random/inversive_congruential.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> IntType<span class="special">,</span> <span class="identifier">IntType</span> a<span class="special">,</span> <span class="identifier">IntType</span> b<span class="special">,</span> <span class="identifier">IntType</span> p<span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/inversive_cong_idp82309568.html" title="Class template inversive_congruential_engine">inversive_congruential_engine</a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/inversive_cong_idp82309568.html" title="Class template inversive_congruential_engine">inversive_congruential_engine</a><span class="special">&lt;</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">9102</span><span class="special">,</span> <span class="number">2147483647</span><span class="special">-</span><span class="number">36884165</span><span class="special">,</span> <span class="number">2147483647</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/hellekalek1995.html" title="Type definition hellekalek1995"><span class="identifier">hellekalek1995</span></a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.lagged_fibonacci_hpp"></a>Header &lt;<a href="../../../boost/random/lagged_fibonacci.hpp" target="_top">boost/random/lagged_fibonacci.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> UIntType<span class="special">,</span> <span class="keyword">int</span> w<span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">int</span> p<span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">int</span> q<span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/lagged_fibonacci_engine.html" title="Class template lagged_fibonacci_engine">lagged_fibonacci_engine</a><span class="special">;</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType<span class="special">,</span> <span class="keyword">int</span> w<span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">int</span> p<span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">int</span> q<span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special">&lt;</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">607</span><span class="special">,</span> <span class="number">273</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/lagged_fibonacci607.html" title="Type definition lagged_fibonacci607"><span class="identifier">lagged_fibonacci607</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special">&lt;</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">1279</span><span class="special">,</span> <span class="number">418</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/lagged_fibonacci1279.html" title="Type definition lagged_fibonacci1279"><span class="identifier">lagged_fibonacci1279</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special">&lt;</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">2281</span><span class="special">,</span> <span class="number">1252</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/lagged_fibonacci2281.html" title="Type definition lagged_fibonacci2281"><span class="identifier">lagged_fibonacci2281</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special">&lt;</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">3217</span><span class="special">,</span> <span class="number">576</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/lagged_fibonacci3217.html" title="Type definition lagged_fibonacci3217"><span class="identifier">lagged_fibonacci3217</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special">&lt;</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">4423</span><span class="special">,</span> <span class="number">2098</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/lagged_fibonacci4423.html" title="Type definition lagged_fibonacci4423"><span class="identifier">lagged_fibonacci4423</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special">&lt;</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">9689</span><span class="special">,</span> <span class="number">5502</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/lagged_fibonacci9689.html" title="Type definition lagged_fibonacci9689"><span class="identifier">lagged_fibonacci9689</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special">&lt;</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">19937</span><span class="special">,</span> <span class="number">9842</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/lagged_fibonacci19937.html" title="Type definition lagged_fibonacci19937"><span class="identifier">lagged_fibonacci19937</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special">&lt;</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">23209</span><span class="special">,</span> <span class="number">13470</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/lagged_fibonacci23209.html" title="Type definition lagged_fibonacci23209"><span class="identifier">lagged_fibonacci23209</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special">&lt;</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">44497</span><span class="special">,</span> <span class="number">21034</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/lagged_fibonacci44497.html" title="Type definition lagged_fibonacci44497"><span class="identifier">lagged_fibonacci44497</span></a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.linear_congruential_hpp"></a>Header &lt;<a href="../../../boost/random/linear_congruential.hpp" target="_top">boost/random/linear_congruential.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> IntType<span class="special">,</span> <span class="identifier">IntType</span> a<span class="special">,</span> <span class="identifier">IntType</span> c<span class="special">,</span> <span class="identifier">IntType</span> m<span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/linear_congruential_engine.html" title="Class template linear_congruential_engine">linear_congruential_engine</a><span class="special">;</span>
    <span class="keyword">class</span> <a class="link" href="../boost/random/rand48.html" title="Class rand48">rand48</a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/linear_congruential_engine.html" title="Class template linear_congruential_engine">linear_congruential_engine</a><span class="special">&lt;</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">16807</span><span class="special">,</span> <span class="number">0</span><span class="special">,</span> <span class="number">2147483647</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/minstd_rand0.html" title="Type definition minstd_rand0"><span class="identifier">minstd_rand0</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/linear_congruential_engine.html" title="Class template linear_congruential_engine">linear_congruential_engine</a><span class="special">&lt;</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">48271</span><span class="special">,</span> <span class="number">0</span><span class="special">,</span> <span class="number">2147483647</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/minstd_rand.html" title="Type definition minstd_rand"><span class="identifier">minstd_rand</span></a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.linear_feedback_shift_hpp"></a>Header &lt;<a href="../../../boost/random/linear_feedback_shift.hpp" target="_top">boost/random/linear_feedback_shift.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> UIntType<span class="special">,</span> <span class="keyword">int</span> w<span class="special">,</span> <span class="keyword">int</span> k<span class="special">,</span> <span class="keyword">int</span> q<span class="special">,</span> <span class="keyword">int</span> s<span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/linear_feedbac_idp82507808.html" title="Class template linear_feedback_shift_engine">linear_feedback_shift_engine</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.lognormal_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/lognormal_distribution.hpp" target="_top">boost/random/lognormal_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/lognormal_distribution.html" title="Class template lognormal_distribution">lognormal_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.mersenne_twister_hpp"></a>Header &lt;<a href="../../../boost/random/mersenne_twister.hpp" target="_top">boost/random/mersenne_twister.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> UIntType<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> w<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> n<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> m<span class="special">,</span> 
             <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> r<span class="special">,</span> <span class="identifier">UIntType</span> a<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> u<span class="special">,</span> <span class="identifier">UIntType</span> d<span class="special">,</span> 
             <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> s<span class="special">,</span> <span class="identifier">UIntType</span> b<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> t<span class="special">,</span> <span class="identifier">UIntType</span> c<span class="special">,</span> 
             <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> l<span class="special">,</span> <span class="identifier">UIntType</span> f<span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/mersenne_twister_engine.html" title="Class template mersenne_twister_engine">mersenne_twister_engine</a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/mersenne_twister_engine.html" title="Class template mersenne_twister_engine">mersenne_twister_engine</a><span class="special">&lt;</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">32</span><span class="special">,</span> <span class="number">351</span><span class="special">,</span> <span class="number">175</span><span class="special">,</span> <span class="number">19</span><span class="special">,</span> <span class="number">0xccab8ee7</span><span class="special">,</span> <span class="number">11</span><span class="special">,</span> <span class="number">0xffffffff</span><span class="special">,</span> <span class="number">7</span><span class="special">,</span> <span class="number">0x31b6ab00</span><span class="special">,</span> <span class="number">15</span><span class="special">,</span> <span class="number">0xffe50000</span><span class="special">,</span> <span class="number">17</span><span class="special">,</span> <span class="number">1812433253</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/mt11213b.html" title="Type definition mt11213b"><span class="identifier">mt11213b</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/mersenne_twister_engine.html" title="Class template mersenne_twister_engine">mersenne_twister_engine</a><span class="special">&lt;</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">32</span><span class="special">,</span> <span class="number">624</span><span class="special">,</span> <span class="number">397</span><span class="special">,</span> <span class="number">31</span><span class="special">,</span> <span class="number">0x9908b0df</span><span class="special">,</span> <span class="number">11</span><span class="special">,</span> <span class="number">0xffffffff</span><span class="special">,</span> <span class="number">7</span><span class="special">,</span> <span class="number">0x9d2c5680</span><span class="special">,</span> <span class="number">15</span><span class="special">,</span> <span class="number">0xefc60000</span><span class="special">,</span> <span class="number">18</span><span class="special">,</span> <span class="number">1812433253</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/mt19937.html" title="Type definition mt19937"><span class="identifier">mt19937</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/mersenne_twister_engine.html" title="Class template mersenne_twister_engine">mersenne_twister_engine</a><span class="special">&lt;</span> <span class="identifier">uint64_t</span><span class="special">,</span> <span class="number">64</span><span class="special">,</span> <span class="number">312</span><span class="special">,</span> <span class="number">156</span><span class="special">,</span> <span class="number">31</span><span class="special">,</span> <span class="number">0xb5026f5aa96619e9ull</span><span class="special">,</span> <span class="number">29</span><span class="special">,</span> <span class="number">0x5555555555555555ull</span><span class="special">,</span> <span class="number">17</span><span class="special">,</span> <span class="number">0x71d67fffeda60000ull</span><span class="special">,</span> <span class="number">37</span><span class="special">,</span> <span class="number">0xfff7eee000000000ull</span><span class="special">,</span> <span class="number">43</span><span class="special">,</span> <span class="number">6364136223846793005ull</span> <span class="special">&gt;</span> <a name="boost.random.mt19937_64"></a><span class="identifier">mt19937_64</span><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.negative_binomial_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/negative_binomial_distribution.hpp" target="_top">boost/random/negative_binomial_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/negative_binom_idp82638048.html" title="Class template negative_binomial_distribution">negative_binomial_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.normal_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/normal_distribution.hpp" target="_top">boost/random/normal_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/normal_distribution.html" title="Class template normal_distribution">normal_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.piecewise_constant_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/piecewise_constant_distribution.hpp" target="_top">boost/random/piecewise_constant_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span> <span class="keyword">typename</span> WeightType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/piecewise_cons_idp82723744.html" title="Class template piecewise_constant_distribution">piecewise_constant_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.piecewise_linear_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/piecewise_linear_distribution.hpp" target="_top">boost/random/piecewise_linear_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/piecewise_line_idp82782016.html" title="Class template piecewise_linear_distribution">piecewise_linear_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.poisson_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/poisson_distribution.hpp" target="_top">boost/random/poisson_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.random_device_hpp"></a>Header &lt;<a href="../../../boost/random/random_device.hpp" target="_top">boost/random/random_device.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">class</span> <a class="link" href="../boost/random/random_device.html" title="Class random_device">random_device</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.random_number_generator_hpp"></a>Header &lt;<a href="../../../boost/random/random_number_generator.hpp" target="_top">boost/random/random_number_generator.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> URNG<span class="special">,</span> <span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">long</span><span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/random_number_generator.html" title="Class template random_number_generator">random_number_generator</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.ranlux_hpp"></a>Header &lt;<a href="../../../boost/random/ranlux.hpp" target="_top">boost/random/ranlux.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/subtract_with_carry_engine.html" title="Class template subtract_with_carry_engine">subtract_with_carry_engine</a><span class="special">&lt;</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">24</span><span class="special">,</span> <span class="number">10</span><span class="special">,</span> <span class="number">24</span> <span class="special">&gt;</span> <a name="boost.random.ranlux_base"></a><span class="identifier">ranlux_base</span><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/subtract_with__idp75943328.html" title="Class template subtract_with_carry_01_engine">subtract_with_carry_01_engine</a><span class="special">&lt;</span> <span class="keyword">float</span><span class="special">,</span> <span class="number">24</span><span class="special">,</span> <span class="number">10</span><span class="special">,</span> <span class="number">24</span> <span class="special">&gt;</span> <a name="boost.random.ranlux_base_01"></a><span class="identifier">ranlux_base_01</span><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/subtract_with__idp75943328.html" title="Class template subtract_with_carry_01_engine">subtract_with_carry_01_engine</a><span class="special">&lt;</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">10</span><span class="special">,</span> <span class="number">24</span> <span class="special">&gt;</span> <a name="boost.random.ranlux64_base_01"></a><span class="identifier">ranlux64_base_01</span><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special">&lt;</span> <a class="link" href="reference.html#boost.random.ranlux_base">ranlux_base</a><span class="special">,</span> <span class="number">223</span><span class="special">,</span> <span class="number">24</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/ranlux3.html" title="Type definition ranlux3"><span class="identifier">ranlux3</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special">&lt;</span> <a class="link" href="reference.html#boost.random.ranlux_base">ranlux_base</a><span class="special">,</span> <span class="number">389</span><span class="special">,</span> <span class="number">24</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/ranlux4.html" title="Type definition ranlux4"><span class="identifier">ranlux4</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special">&lt;</span> <a class="link" href="reference.html#boost.random.ranlux_base_01">ranlux_base_01</a><span class="special">,</span> <span class="number">223</span><span class="special">,</span> <span class="number">24</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/ranlux3_01.html" title="Type definition ranlux3_01"><span class="identifier">ranlux3_01</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special">&lt;</span> <a class="link" href="reference.html#boost.random.ranlux_base_01">ranlux_base_01</a><span class="special">,</span> <span class="number">389</span><span class="special">,</span> <span class="number">24</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/ranlux4_01.html" title="Type definition ranlux4_01"><span class="identifier">ranlux4_01</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special">&lt;</span> <a class="link" href="reference.html#boost.random.ranlux64_base_01">ranlux64_base_01</a><span class="special">,</span> <span class="number">223</span><span class="special">,</span> <span class="number">24</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/ranlux64_3_01.html" title="Type definition ranlux64_3_01"><span class="identifier">ranlux64_3_01</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special">&lt;</span> <a class="link" href="reference.html#boost.random.ranlux64_base_01">ranlux64_base_01</a><span class="special">,</span> <span class="number">389</span><span class="special">,</span> <span class="number">24</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/ranlux64_4_01.html" title="Type definition ranlux64_4_01"><span class="identifier">ranlux64_4_01</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/subtract_with_carry_engine.html" title="Class template subtract_with_carry_engine">subtract_with_carry_engine</a><span class="special">&lt;</span> <span class="identifier">uint64_t</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">10</span><span class="special">,</span> <span class="number">24</span> <span class="special">&gt;</span> <a name="boost.random.ranlux64_base"></a><span class="identifier">ranlux64_base</span><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special">&lt;</span> <a class="link" href="reference.html#boost.random.ranlux64_base">ranlux64_base</a><span class="special">,</span> <span class="number">223</span><span class="special">,</span> <span class="number">24</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/ranlux64_3.html" title="Type definition ranlux64_3"><span class="identifier">ranlux64_3</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special">&lt;</span> <a class="link" href="reference.html#boost.random.ranlux64_base">ranlux64_base</a><span class="special">,</span> <span class="number">389</span><span class="special">,</span> <span class="number">24</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/ranlux64_4.html" title="Type definition ranlux64_4"><span class="identifier">ranlux64_4</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/subtract_with_carry_engine.html" title="Class template subtract_with_carry_engine">subtract_with_carry_engine</a><span class="special">&lt;</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">24</span><span class="special">,</span> <span class="number">10</span><span class="special">,</span> <span class="number">24</span> <span class="special">&gt;</span> <a name="boost.random.ranlux24_base"></a><span class="identifier">ranlux24_base</span><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/subtract_with_carry_engine.html" title="Class template subtract_with_carry_engine">subtract_with_carry_engine</a><span class="special">&lt;</span> <span class="identifier">uint64_t</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">5</span><span class="special">,</span> <span class="number">12</span> <span class="special">&gt;</span> <a name="boost.random.ranlux48_base"></a><span class="identifier">ranlux48_base</span><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special">&lt;</span> <a class="link" href="reference.html#boost.random.ranlux24_base">ranlux24_base</a><span class="special">,</span> <span class="number">223</span><span class="special">,</span> <span class="number">23</span> <span class="special">&gt;</span> <a name="boost.random.ranlux24"></a><span class="identifier">ranlux24</span><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special">&lt;</span> <a class="link" href="reference.html#boost.random.ranlux48_base">ranlux48_base</a><span class="special">,</span> <span class="number">389</span><span class="special">,</span> <span class="number">11</span> <span class="special">&gt;</span> <a name="boost.random.ranlux48"></a><span class="identifier">ranlux48</span><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.seed_seq_hpp"></a>Header &lt;<a href="../../../boost/random/seed_seq.hpp" target="_top">boost/random/seed_seq.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">class</span> <a class="link" href="../boost/random/seed_seq.html" title="Class seed_seq">seed_seq</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.shuffle_order_hpp"></a>Header &lt;<a href="../../../boost/random/shuffle_order.hpp" target="_top">boost/random/shuffle_order.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> UniformRandomNumberGenerator<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> k<span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/shuffle_order_engine.html" title="Class template shuffle_order_engine">shuffle_order_engine</a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/shuffle_order_engine.html" title="Class template shuffle_order_engine">shuffle_order_engine</a><span class="special">&lt;</span> <a class="link" href="../boost/random/linear_congruential_engine.html" title="Class template linear_congruential_engine">linear_congruential_engine</a><span class="special">&lt;</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">1366</span><span class="special">,</span> <span class="number">150889</span><span class="special">,</span> <span class="number">714025</span> <span class="special">&gt;</span><span class="special">,</span> <span class="number">97</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/kreutzer1986.html" title="Type definition kreutzer1986"><span class="identifier">kreutzer1986</span></a><span class="special">;</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/shuffle_order_engine.html" title="Class template shuffle_order_engine">shuffle_order_engine</a><span class="special">&lt;</span> <a class="link" href="../boost/random/minstd_rand0.html" title="Type definition minstd_rand0">minstd_rand0</a><span class="special">,</span> <span class="number">256</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/knuth_b.html" title="Type definition knuth_b"><span class="identifier">knuth_b</span></a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.student_t_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/student_t_distribution.hpp" target="_top">boost/random/student_t_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.subtract_with_carry_hpp"></a>Header &lt;<a href="../../../boost/random/subtract_with_carry.hpp" target="_top">boost/random/subtract_with_carry.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> IntType<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> w<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> s<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> r<span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/subtract_with_carry_engine.html" title="Class template subtract_with_carry_engine">subtract_with_carry_engine</a><span class="special">;</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> w<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> s<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> r<span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/subtract_with__idp75943328.html" title="Class template subtract_with_carry_01_engine">subtract_with_carry_01_engine</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.taus88_hpp"></a>Header &lt;<a href="../../../boost/random/taus88.hpp" target="_top">boost/random/taus88.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">typedef</span> <a class="link" href="../boost/random/xor_combine_engine.html" title="Class template xor_combine_engine">xor_combine_engine</a><span class="special">&lt;</span> <a class="link" href="../boost/random/xor_combine_engine.html" title="Class template xor_combine_engine">xor_combine_engine</a><span class="special">&lt;</span> <a class="link" href="../boost/random/linear_feedbac_idp82507808.html" title="Class template linear_feedback_shift_engine">linear_feedback_shift_engine</a><span class="special">&lt;</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">32</span><span class="special">,</span> <span class="number">31</span><span class="special">,</span> <span class="number">13</span><span class="special">,</span> <span class="number">12</span> <span class="special">&gt;</span><span class="special">,</span> <span class="number">0</span><span class="special">,</span> <a class="link" href="../boost/random/linear_feedbac_idp82507808.html" title="Class template linear_feedback_shift_engine">linear_feedback_shift_engine</a><span class="special">&lt;</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">32</span><span class="special">,</span> <span class="number">29</span><span class="special">,</span> <span class="number">2</span><span class="special">,</span> <span class="number">4</span> <span class="special">&gt;</span><span class="special">,</span> <span class="number">0</span> <span class="special">&gt;</span><span class="special">,</span> <span class="number">0</span><span class="special">,</span> <a class="link" href="../boost/random/linear_feedbac_idp82507808.html" title="Class template linear_feedback_shift_engine">linear_feedback_shift_engine</a><span class="special">&lt;</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">32</span><span class="special">,</span> <span class="number">28</span><span class="special">,</span> <span class="number">3</span><span class="special">,</span> <span class="number">17</span> <span class="special">&gt;</span><span class="special">,</span> <span class="number">0</span> <span class="special">&gt;</span> <a class="link" href="../boost/random/taus88.html" title="Type definition taus88"><span class="identifier">taus88</span></a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.triangle_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/triangle_distribution.hpp" target="_top">boost/random/triangle_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/triangle_distribution.html" title="Class template triangle_distribution">triangle_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.uniform_01_hpp"></a>Header &lt;<a href="../../../boost/random/uniform_01.hpp" target="_top">boost/random/uniform_01.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/uniform_01.html" title="Class template uniform_01">uniform_01</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.uniform_int_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/uniform_int_distribution.hpp" target="_top">boost/random/uniform_int_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/uniform_int_distribution.html" title="Class template uniform_int_distribution">uniform_int_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.uniform_on_sphere_hpp"></a>Header &lt;<a href="../../../boost/random/uniform_on_sphere.hpp" target="_top">boost/random/uniform_on_sphere.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span> 
             <span class="keyword">typename</span> Cont <span class="special">=</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">vector</span><span class="special">&lt;</span><span class="identifier">RealType</span><span class="special">&gt;</span> <span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/uniform_on_sphere.html" title="Class template uniform_on_sphere">uniform_on_sphere</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.uniform_real_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/uniform_real_distribution.hpp" target="_top">boost/random/uniform_real_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/uniform_real_distribution.html" title="Class template uniform_real_distribution">uniform_real_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.uniform_smallint_hpp"></a>Header &lt;<a href="../../../boost/random/uniform_smallint.hpp" target="_top">boost/random/uniform_smallint.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/uniform_smallint.html" title="Class template uniform_smallint">uniform_smallint</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.variate_generator_hpp"></a>Header &lt;<a href="../../../boost/random/variate_generator.hpp" target="_top">boost/random/variate_generator.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> Engine<span class="special">,</span> <span class="keyword">typename</span> Distribution<span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/variate_generator.html" title="Class template variate_generator">variate_generator</a><span class="special">;</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.weibull_distribution_hpp"></a>Header &lt;<a href="../../../boost/random/weibull_distribution.hpp" target="_top">boost/random/weibull_distribution.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> <span class="keyword">class</span> <a class="link" href="../boost/random/weibull_distribution.html" title="Class template weibull_distribution">weibull_distribution</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h4 class="title">
<a name="header.boost.random.xor_combine_hpp"></a>Header &lt;<a href="../../../boost/random/xor_combine.hpp" target="_top">boost/random/xor_combine.hpp</a>&gt;</h4></div></div></div>
<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span>
  <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> URNG1<span class="special">,</span> <span class="keyword">int</span> s1<span class="special">,</span> <span class="keyword">typename</span> URNG2<span class="special">,</span> <span class="keyword">int</span> s2<span class="special">&gt;</span> 
      <span class="keyword">class</span> <a class="link" href="../boost/random/xor_combine_engine.html" title="Class template xor_combine_engine">xor_combine_engine</a><span class="special">;</span>
  <span class="special">}</span>
<span class="special">}</span></pre>
</div>
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<td align="right"><div class="copyright-footer">Copyright &#169; 2000-2005 Jens Maurer<br>Copyright &#169; 2009, 2010 Steven Watanabe<p>
        Distributed under the Boost Software License, Version 1.0. (See accompanying
        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
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